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Finding the Fourth Proportional to 50,883.78, 70,213.02 and 28,222.68

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Solution

The fourth proportional to 50,883.78, 70,213.02 and 28,222.68 is: 38,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,883.78 : 70,213.02 = 28,222.68 : x
  2. Step 2: Convert to fraction form
    50,883.78/70,213.02 = 28,222.68/x
  3. Step 3: Cross multiply
    50,883.78x = 70,213.02 × 28,222.68
  4. Step 4: Simplify right side
    50,883.78x = 1,981,599,595.29
  5. Step 5: Solve for x
    x = 1,981,599,595.29/50,883.78
  6. Step 6: Final answer
    x = 38,943.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.